(7/3 *3sqrt27-2)*1/5 +sqrt(81)
answer = 10
B and C are the only ones correct
Answer:
x = 5
Step-by-step explanation:
We are given a linear single variable equation of x and we have to get the value of x from the equation.
Now, the equation is
- 2 ( x + 6 ) + 3 = - 11x + 4 ( x + 4 )
⇒ - 2x - 12 + 3 = - 11x + 4x + 16
⇒ 5x = 25
⇒ x = 5 (Answer)
We know the angle, the side opposite to the angle(91), and we want to find the side adjacent to the angle(x). Which property is the ratio of the opposite and adjacent sides?
![\sf sin(x\textdegree )=\dfrac{Opposite}{Hypotenuse}](https://tex.z-dn.net/?f=%5Csf%20sin%28x%5Ctextdegree%20%29%3D%5Cdfrac%7BOpposite%7D%7BHypotenuse%7D)
![\sf cos(x\textdegree )=\dfrac{Adjacent}{Hypotenuse}](https://tex.z-dn.net/?f=%5Csf%20cos%28x%5Ctextdegree%20%29%3D%5Cdfrac%7BAdjacent%7D%7BHypotenuse%7D)
![\boxed{\sf tan(x\textdegree )=\dfrac{Opposite}{Adjacent}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Csf%20tan%28x%5Ctextdegree%20%29%3D%5Cdfrac%7BOpposite%7D%7BAdjacent%7D%7D)
Let's use tangent:
![\sf tan(55\textdegree )=\dfrac{91}{x}](https://tex.z-dn.net/?f=%5Csf%20tan%2855%5Ctextdegree%20%29%3D%5Cdfrac%7B91%7D%7Bx%7D)
Solve for 'x', multiply 'x' to both sides:
![\sf tan(55\textdegree )x=91](https://tex.z-dn.net/?f=%5Csf%20tan%2855%5Ctextdegree%20%29x%3D91)
Divide the tangent of 55 degrees to both sides:
![\sf x=\dfrac{91}{tan(55\textdegree )}](https://tex.z-dn.net/?f=%5Csf%20x%3D%5Cdfrac%7B91%7D%7Btan%2855%5Ctextdegree%20%29%7D)
This is an exact answer, if you want an approximate:
Answer:
-3
Step-by-step explanation:
Step 1: Write equation
-7.6(x - 1) = 7.3 - 7.4x
Step 2: Solve for <em>x</em>
<u>Distribute -7.6:</u> -7.6x + 7.6 = 7.3 - 7.4x
<u>Add 7.6x on both sides:</u> 7.6 = 7.3 + 0.2x
<u>Subtract 7.3 on both sides:</u> 0.3 = 0.2x
<u>Divide both sides by 0.2:</u> x = 1.5
Step 3: Find <em>-2x</em>
-2(1.5) = -3